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Explain Brahmagupta’s method for adding fractions.
Brahmagupta’s method simplifies adding fractions by first converting them to equivalent fractions with a common denominator. The numerators are then added directly, while the denominator stays unchanged. For example, adding 1/2 and 2/3 involves finding a common denominator of 6, making the fractionsRead more
Brahmagupta’s method simplifies adding fractions by first converting them to equivalent fractions with a common denominator. The numerators are then added directly, while the denominator stays unchanged. For example, adding 1/2 and 2/3 involves finding a common denominator of 6, making the fractions 3/6 and 4/6. Adding their numerators gives 7/6. This approach ensures accurate addition of fractions by aligning their denominators, allowing the values to be combined efficiently.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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What are the numerator and denominator in a fraction?
A fraction consists of two parts: the numerator and the denominator. The numerator indicates how many parts are considered, while the denominator shows the total number of equal parts into which the whole is divided. For instance, in the fraction 7/10, 7 is the numerator (selected parts), and 10 isRead more
A fraction consists of two parts: the numerator and the denominator. The numerator indicates how many parts are considered, while the denominator shows the total number of equal parts into which the whole is divided. For instance, in the fraction 7/10, 7 is the numerator (selected parts), and 10 is the denominator (total parts). These components work together to define the fraction’s value and relationship to the whole.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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Define a fractional unit with an example.
A fractional unit refers to one of the equal parts obtained when a whole unit is divided. Each part is equally significant and proportional. For instance, dividing a chocolate bar into 6 equal parts makes each piece a fractional unit, or 1/6 of the bar. Fractions like 1/6, 1/4, or 1/8 represent suchRead more
A fractional unit refers to one of the equal parts obtained when a whole unit is divided. Each part is equally significant and proportional. For instance, dividing a chocolate bar into 6 equal parts makes each piece a fractional unit, or 1/6 of the bar. Fractions like 1/6, 1/4, or 1/8 represent such divisions of a whole, enabling us to measure, compare, and share portions of a single object or quantity.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
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Jeevika takes 10/3 minutes to take a complete round of the park and her friend Namit takes 13/4 minutes to do the same. Who takes less time and by how much?
To compare the times, convert 10/3 and 13/4 to a common denominator. The least common denominator is 12. Convert 10/3 to 40/12 and 13/4 to 39/12. Now, compare: 39/12 < 40/12, so Namit takes less time. The difference is: 40/12 – 39/12 = 1/12. Thus, Namit takes 1/12 of a minute less than Jeevika, wRead more
To compare the times, convert 10/3 and 13/4 to a common denominator. The least common denominator is 12. Convert 10/3 to 40/12 and 13/4 to 39/12. Now, compare:
39/12 < 40/12, so Namit takes less time.
The difference is:
40/12 – 39/12 = 1/12.
Thus, Namit takes 1/12 of a minute less than Jeevika, which equals 5 seconds. This method ensures accurate comparison by aligning the fractions and observing the difference in time.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Jaya’s school is 7/10 km from her home. She takes an auto for 1/2 km from her home daily, and then walks the remaining distance to reach her school. How much does she walk daily to reach the school?
Jaya’s school is 7/10 km away, and she takes an auto for 1/2 km. To find the distance she walks, subtract 1/2 from 7/10. First, convert 1/2 to 5/10. Now, subtract: 7/10 – 5/10 = 2/10, which simplifies to 1/5. Therefore, Jaya walks 1/5 km daily. This method ensures that the distances are aligned usinRead more
Jaya’s school is 7/10 km away, and she takes an auto for 1/2 km. To find the distance she walks, subtract 1/2 from 7/10. First, convert 1/2 to 5/10. Now, subtract:
7/10 – 5/10 = 2/10, which simplifies to 1/5.
Therefore, Jaya walks 1/5 km daily. This method ensures that the distances are aligned using a common denominator, and the result is simplified to its lowest terms, representing the portion she walks each day.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/